Self-consistent approach to the Gamow-Tellerβdecay ofKr72

Abstract

The Gamow-Teller strength distributions for the $\ensuremath{\beta}$ decay of the ground state and the lowest-excited states in the nucleus $^{72}\mathrm{Kr}$ to the nucleus $^{72}\mathrm{Br}$ are obtained within the complex excited VAMPIR variational approach using a rather large model space. The shape mixing is consistently described for both the ${0}^{+}$ and ${2}^{+}$ states in the even-even $^{72}\mathrm{Kr}$ and the ${1}^{+},{2}^{+}$, and ${3}^{+}$ states in the odd-odd $^{72}\mathrm{Br}$. The influence of shape mixing, comparison with the available data, and predictions concerning the half-life of the first excited ${0}^{+}$ and yrast ${2}^{+}$ states of $^{72}\mathrm{Kr}$ are presented.